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Finding the Fourth Proportional to 7,077, 10,615.53 and 2,146.68

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Solution

The fourth proportional to 7,077, 10,615.53 and 2,146.68 is: 3,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077 : 10,615.53 = 2,146.68 : x
  2. Step 2: Convert to fraction form
    7,077/10,615.53 = 2,146.68/x
  3. Step 3: Cross multiply
    7,077x = 10,615.53 × 2,146.68
  4. Step 4: Simplify right side
    7,077x = 22,788,167.11
  5. Step 5: Solve for x
    x = 22,788,167.11/7,077
  6. Step 6: Final answer
    x = 3,220.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.